MinT - Information on Result #724011

Information on Result #724011

Linear OA(25⁴⁹, 624, F₂₅, 25) (dual of [624, 575, 26]-code), using the primitive BCH-code C(I) with length 624Â = 25²âˆ’1, defining interval IÂ =Â {5,6,…,29}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(25⁴⁹, 315, F₂₅, 2, 25) (dual of [(315, 2), 581, 26]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Digital (24, 49, 315)-net over F₂₅	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Linear OA(25⁷⁸, 660, F₂₅, 35) (dual of [660, 582, 36]-code)	[i]	✔	ConstructionÂ XX with Cyclic Codes
4	Linear OA(25⁸³, 665, F₂₅, 36) (dual of [665, 582, 37]-code)	[i]	✔
5	Linear OA(25⁸², 663, F₂₅, 36) (dual of [663, 581, 37]-code)	[i]	✔
6	Linear OA(25⁷⁷, 658, F₂₅, 35) (dual of [658, 581, 36]-code)	[i]	✔
7	Linear OA(25⁸¹, 661, F₂₅, 36) (dual of [661, 580, 37]-code)	[i]	✔
8	Linear OA(25⁸⁴, 661, F₂₅, 37) (dual of [661, 577, 38]-code)	[i]	✔